极限运算中应注意的问题

函数极限的概念是高等数学中最基本的概念,微分法、积分法均运用极限运算予以描述。由此可见,正确求出函数极限具有非常重要的意义。但是,在教学实践中常常发现学生由于对极限运算的相关概念、定理、运算方法的含义缺乏正确理解,常常出现解题错误,影响了解题技能的提高。针对这一情况,该文提出极限运算中应注意的几个问题,希望对初学者有所帮助。

Several Problems that We Should Pay Attention to in Limit Operation

The definition of function's limits is the most basic definition in high school. Limit operation method is often used in many occasions.Therefore, it has a significant meaning to get the correct answer for functions' limits. However, in teaching pracice, we find that due to misunderstanding of the definition, principle, operation method, students usually can't use it well and get the correct answer, which greatly influences the development of operation skills. To this point, this article puts forward several occasional problems that should be paid much attention to. We hope that it will be helpful to the green learners.